Berry's Phase in the Presence of a Dissipative Medium

Physica {\bf A307} (2002) 142 We consider the spin 1/2 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism considered. Dissipation e...

Full description

Saved in:
Bibliographic Details
Main Authors Romero, K. M. Fonseca, Pinto, A. C. Aguiar, Thomaz, M. T
Format Journal Article
LanguageEnglish
Published 14.03.2000
Subjects
Physics - Quantum Physics
Online AccessGet full text

Cover

More Information
Summary:Physica {\bf A307} (2002) 142 We consider the spin 1/2 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism considered. Dissipation effects are twofold: a shrinking in the modulus of the Bloch's vector, which characterizes coherence loss and a time dependent (dissipation related) precession angle. We show that the line broadening of the Fourier transformation of the components of magnetization is only due to the presence of dissipation.
DOI:10.48550/arxiv.quant-ph/0003049